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Finding the Fourth Proportional to 531.54, 797.31 and 409.98

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Solution

The fourth proportional to 531.54, 797.31 and 409.98 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 797.31 = 409.98 : x
  2. Step 2: Convert to fraction form
    531.54/797.31 = 409.98/x
  3. Step 3: Cross multiply
    531.54x = 797.31 × 409.98
  4. Step 4: Simplify right side
    531.54x = 326,881.15
  5. Step 5: Solve for x
    x = 326,881.15/531.54
  6. Step 6: Final answer
    x = 614.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.